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855542272 = 2913177561
BaseRepresentation
bin110010111111101…
…000101000000000
32012121212001100211
4302333220220000
53223004323042
6220521123504
730125663224
oct6277505000
92177761324
10855542272
113a9a27632
121ba629594
1310832bb40
14818a6784
1550199017
hex32fe8a00

855542272 has 80 divisors (see below), whose sum is σ = 1949453352. Its totient is φ = 371589120.

The previous prime is 855542249. The next prime is 855542287. The reversal of 855542272 is 272245558.

It can be written as a sum of positive squares in 4 ways, for example, as 600054016 + 255488256 = 24496^2 + 15984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109372 + ... + 116932.

Almost surely, 2855542272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974726676).

855542272 is an abundant number, since it is smaller than the sum of its proper divisors (1093911080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

855542272 is a wasteful number, since it uses less digits than its factorization.

855542272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609 (or 7593 counting only the distinct ones).

The product of its digits is 224000, while the sum is 40.

The square root of 855542272 is about 29249.6542201784. The cubic root of 855542272 is about 949.3226092576.

The spelling of 855542272 in words is "eight hundred fifty-five million, five hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1088 1664 1768 2176 3328 3536 4352 6656 7072 7561 8704 14144 15122 28288 30244 56576 60488 98293 113152 120976 128537 196586 241952 257074 393172 483904 514148 786344 967808 1028296 1572688 1670981 1935616 2056592 3145376 3341962 3871232 4113184 6290752 6683924 8226368 12581504 13367848 16452736 25163008 26735696 32905472 50326016 53471392 65810944 106942784 213885568 427771136 855542272